Greatest Common Factor of 198/927, 214/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/927, 214/462

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 198/927,214/462

Given fractions are 198/927,214/462

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 198,214

Greatest Common Factor of Numerators i.e. GCF of 198,214 is 2 .

LCM of Denominators means LCM of 927,462 as per the given fractions.

LCM of 927,462 is 142758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,214

GCF of Fractions 198/927,214/462 is 2/142758

2 198, 214
99, 107

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 198,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,214 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 198,214 . The biggest common factor number is the GCF number.
So the greatest common factor 198,214 is 2.

Lets's calculate LCM of 927,462

3 927, 462
309, 154

∴ So the LCM of the given numbers is 3 x 309 x 154 = 142758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142758

Therefore, the GCF of Fractions 198/927,214/462 is 2/142758

Least Common Multiple of 927,462 with GCF Formula

Least Common Multiple of 927,462 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 927,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,462) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(927,462) x common factors =3 x 1 = 3

LCM(927,462) = ( 927 × 462 ) / 3

LCM(927,462) = 428274 / 3

LCM(927,462) = 142758


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 198/927, 214/462

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 198/927, 214/462?

Answer: GCF of Numerators as per given numbers 198/927, 214/462 is

GCF of Numerators i.e. for 198,214 is 2

LCM of denominators i.e. for 927,462 is 142758.

Thus, GCF of Fractions is 2/142758.Finally, GCF of Fractions for 198/927, 214/462 is 2/142758.